Target Exam

CUET

Subject

Section B1

Chapter

Differential Equations

Question:

Find the order and degree, if defined, of the following differential equation: $y''' + y^2 + e^{y'} = 0$

Options:

Order 3, Degree 1

Order 3, Degree 2

Order 3, Degree not defined

Order 1, Degree not defined

Correct Answer:

Order 3, Degree not defined

Explanation:

The correct answer is Option (3) → Order 3, Degree not defined ##

The highest order derivative present in the differential equation is $y'''$, so its order is three. The given differential equation is not a polynomial equation in its derivatives and so its degree is not defined.